16730054040 has 192 divisors, whose sum is σ = 60539132160. Its totient is φ = 3622682880.

The previous prime is 16730054009. The next prime is 16730054057. The reversal of 16730054040 is 4045003761.

16730054040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16730053989 and 16730054007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275655 + ... + 330825.

It is an arithmetic number, because the mean of its divisors is an integer number (315307980).

Almost surely, 2^16730054040 is an apocalyptic number.

16730054040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16730054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30269566080).

16730054040 is an abundant number, since it is smaller than the sum of its proper divisors (43809078120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16730054040 is a wasteful number, since it uses less digits than its factorization.

16730054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55230 (or 55207 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 16730054040 in words is "sixteen billion, seven hundred thirty million, fifty-four thousand, forty".